What would be the water-line of a Klein bottle afloat in the sea?

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If you were on a ship at sea, and were a topologist of sufficient strength to be able to conjure up a Klein bottle on the spot and then toss it into the sea, what would be the water-line of the floating Klein bottle, after all disturbing water waves had died out?

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$$\begin{array}{l}\text{Three jolly sailors from Blaydon-on-Tyne}\cr \text{They went to sea in a bottle by Klein.}\cr \text{Since the sea was entirely inside the hull}\cr \text{The scenery seen was exceedingly dull.}\end{array}$$

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